GCD of 456, 609, 731, 332 Calculator

Given Input numbers are 456, 609, 731, 332

In the factoring method, we have to find the divisors of all numbers

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

GCD of numbers is the greatest common divisor

So, the GCD (456, 609, 731, 332) = 1.

Given numbers are 456, 609, 731, 332

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 609 are 3 x 7 x 29

Prime factors of 731 are 17 x 43

Prime factors of 332 are 2 x 2 x 83

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 456, 609, 731, 332

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(456, 609) = 92568

GCD(456, 609) = ( 456 x 609 ) / 92568

= 456 / 609

= 456

Step2:

LCM(3, 731) = 2193

GCD(3, 731) = ( 3 x 731 ) / 2193

= 3 / 731

= 3

Step3:

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

= 1 / 332

= 1

So, Greatest Common Divisor of 456, 609, 731, 332 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 614, 538, 918
• GCD of 509, 720, 198, 116
• GCD of 804, 831, 265, 597
• GCD of 634, 239, 937, 486
• GCD of 322, 417, 794, 737

Given numbers are 456, 609, 731, 332
The greatest common divisor of numbers 456, 609, 731, 332 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 609, 731, 332 is 1.

1. What is the GCD of 456, 609, 731, 332?

GCD of given numbers 456, 609, 731, 332 is 1

2. How to calculate the greatest common divisor of 456, 609, 731, 332?

We can find the highest common divisor of 456, 609, 731, 332 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 456, 609, 731, 332 i.e 1.

3. How can I use the GCD of 456, 609, 731, 332Calculator?

Out the numbers 456, 609, 731, 332 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.